Using CAS to Solve Classical Mathematics Problems
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| Title: | Using CAS to Solve Classical Mathematics Problems |
|---|---|
| Language: | English |
| Authors: | Burke, Maurice J., Burroughs, Elizabeth A. |
| Source: | Mathematics Teacher. May 2009 102(9):672-679. |
| Availability: | National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/ |
| Peer Reviewed: | Y |
| Physical Description: | |
| Page Count: | 8 |
| Publication Date: | 2009 |
| Intended Audience: | Teachers |
| Document Type: | Journal Articles Reports - Descriptive |
| Education Level: | High Schools |
| Descriptors: | Calculus, Algebra, Computer Uses in Education, Teaching Methods, High School Students, Mathematics Instruction, Problem Solving, Educational Technology, History, Secondary School Mathematics |
| ISSN: | 0025-5769 |
| Abstract: | Historically, calculus has displaced many algebraic methods for solving classical problems. This article illustrates an algebraic method for finding the zeros of polynomial functions that is closely related to Newton's method (devised in 1669, published in 1711), which is encountered in calculus. By exploring this problem, precalculus students are introduced to the notable mathematicians Newton, Raphson, Lagrange, and Euler--mathematicians whose work is usually beyond the scope of precalculus courses in school mathematics. With the aid of CAS, students can explore some of the same problems that these historical figures did, thereby combining the history of mathematics with modern tools for analyzing functions. (Contains 8 figures and 1 table.) |
| Abstractor: | ERIC |
| Number of References: | 8 |
| Entry Date: | 2009 |
| Access URL: | https://my.nctm.org/eresources/article_summary.asp?URI=MT2009-05-672a&from=B |
| Accession Number: | EJ838954 |
| Database: | ERIC |
| Abstract: | Historically, calculus has displaced many algebraic methods for solving classical problems. This article illustrates an algebraic method for finding the zeros of polynomial functions that is closely related to Newton's method (devised in 1669, published in 1711), which is encountered in calculus. By exploring this problem, precalculus students are introduced to the notable mathematicians Newton, Raphson, Lagrange, and Euler--mathematicians whose work is usually beyond the scope of precalculus courses in school mathematics. With the aid of CAS, students can explore some of the same problems that these historical figures did, thereby combining the history of mathematics with modern tools for analyzing functions. (Contains 8 figures and 1 table.) |
|---|---|
| ISSN: | 0025-5769 |
